How do you combine $\frac{3 x - 7}{3 x + 5} + \frac{4 x - 3}{3 x + 5}$ $(3x-7)/(3x+5) + (4x-3)/(3x+5)$ ?

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Answer 1 · 2018-03-16T19:12:05

$\frac{7 x - 10}{3 x + 5}$ $(7x-10)/(3x+5)$

Both of fractions have $3 x + 5$ $3x+5$ as the denominator, so you are able to just add the numerators without having to touch the denominator:

$\frac{3 x - 7 + 4 x - 3}{3 x + 5}$ $(3x-7+4x-3)/(3x+5)$

Now you can combine like terms in the numerator:

$\frac{7 x - 10}{3 x + 5}$ $(7x-10)/(3x+5)$ to get your answer.

How do you combine (3x-7)/(3x+5) + (4x-3)/(3x+5)3x−73x+5+4x−33x+5(3x-7)/(3x+5) + (4x-3)/(3x+5)?